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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 297 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Solve for x: 7(x + 1) = 5x + 19. What is x?
  2. 2.Solve for x: 9(x + 2) = 5x + 22. What is x?
  3. 3.I think of a number, multiply it by 6 and then add 14. The answer is 44. What is my number?
  4. 4.I think of a number, multiply it by 2 and then add 18. The answer is 26. What is my number?
  5. 5.I think of a number, multiply it by 2 and then take away 10. The answer is 46. What is my number?
  6. 6.Solve for x: 7(x + 2) = 4x + 23. What is x?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  9. 9.8 × ? + 2 = 42
  10. 10.Solve for x: 6(x + 3) = 2x + 74. What is x?
  11. 11.I think of a number, multiply it by 4 and then add 5. The answer is 61. What is my number?
  12. 12.2 × ? − 27 = 11
  13. 13.I think of a number, multiply it by 5 and then take away 27. The answer is 58. What is my number?
  14. 14.I think of a number, multiply it by 2 and then add 1. The answer is 57. What is my number?
  15. 15.7 × ? − 25 = 122
  16. 16.I think of a number, multiply it by 2 and then add 36. The answer is 42. What is my number?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then take away 5. The answer is 49. What is my number?
  19. 19.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  21. 21.6 × ? − 30 = 114
  22. 22.I think of a number, multiply it by 4 and then add 25. The answer is 141. What is my number?
  23. 23.10 × ? − 13 = 17
  24. 24.I think of a number, multiply it by 3 and then add 14. The answer is 101. What is my number?
  25. 25.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 6 and then take away 21. The answer is 153. What is my number?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  28. 28.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 4(x + 1) = x + 10. What is x?
  30. 30.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  31. 31.12 × ? − 3 = 117
  32. 32.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  33. 33.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  34. 34.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  37. 37.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 9 and then take away 26. The answer is 244. What is my number?
  39. 39.8 × ? − 7 = 161
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?

Answer key

  1. 6
  2. 1
  3. 5
  4. 4
  5. 28
  6. 3
  7. 4
  8. 7
  9. 5
  10. 14
  11. 14
  12. 19
  13. 17
  14. 28
  15. 21
  16. 3
  17. 12
  18. 9
  19. 14
  20. 11
  21. 24
  22. 29
  23. 3
  24. 29
  25. 6
  26. 29
  27. 10
  28. 7
  29. 2
  30. 2
  31. 10
  32. 8
  33. 5
  34. 10
  35. 15
  36. 4
  37. 2
  38. 30
  39. 21
  40. 19

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